Can you answer number 7 and number 8, please show all calculations. thanks

7) A decision maker who is considered to be a risk taker is faced with this set of probabilities and payoffs. $1 S2 $3 d1 5 10 20 d2 -25 0 50 d3 -50 10 80 probabilit .30 35 .35 y For the lottery p (80) + (1 - p) (-50), this decision maker has assessed the following indifference probabilities. Payoff Probability 50 60 20 .35 10 25 5 .22 0 20 10 18 -25 .10 Requested: Rank the decision alternatives on the basis of expected value and on the basis of expected utility. 8) Three decision makers have assessed utilities for the problem whose payoff table appears below. $1 $2 $3 d1 500 100 -400 d2 200 150 100 d3 -100 200 300 probabil .2 6 .2 ity Page 7 of 9 UNI Indifference Probability for Person Payoff A 300 .95 68 200 .94 64 .32 150 .91 62 .28 100 89 .60 .22 -100 75 45 .10 Requested: Plot the utility function for each decision maker. Characterize each decision maker's attitude toward risk. C. Which decision will each person prefer